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Dye six pieces into a circle with two colors. If it is obtained by rotation, there is only one. How many dyeing methods are there?
Suppose the colors are red and blue, and m reds and n blues are represented by (m, n):

(6,0), (0,6) each 1 species;

(5, 1), (1, 5) 1 each;

(4, 2), (2, 4) 3 kinds each;

(3, 3) There are three kinds;

A * * * is 2× (1+1+3)+3 =13.

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